71838 has 24 divisors (see below), whose sum is σ = 168168. Its totient is φ = 22032.

The previous prime is 71837. The next prime is 71843. The reversal of 71838 is 83817.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (7007).

2⁷¹⁸³⁸ is an apocalyptic number.

71838 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84084).

71838 is an abundant number, since it is smaller than the sum of its proper divisors (96330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71838 is a wasteful number, since it uses less digits than its factorization.

71838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 325 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 71838 is about 268.0261181303. The cubic root of 71838 is about 41.5704517735.

It can be divided in two parts, 71 and 838, that added together give a palindrome (909).

The spelling of 71838 in words is "seventy-one thousand, eight hundred thirty-eight".